Search a number
-
+
1343136306304 = 27136471247563
BaseRepresentation
bin10011100010111001001…
…010011001010010000000
311202101212110220212011101
4103202321022121102000
5134001220343300204
62505010040224144
7166016112142342
oct23427112312200
94671773825141
101343136306304
1147869147a611
1219838576b054
1399870b77240
14490184c1292
1524e10e27ea4
hex138b9299480

1343136306304 has 64 divisors (see below), whose sum is σ = 2886064655040. Its totient is φ = 618950439936.

The previous prime is 1343136306283. The next prime is 1343136306329. The reversal of 1343136306304 is 4036036313431.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452827 + ... + 1700389.

It is an arithmetic number, because the mean of its divisors is an integer number (45094760235).

Almost surely, 21343136306304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343136306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443032327520).

1343136306304 is an abundant number, since it is smaller than the sum of its proper divisors (1542928348736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1343136306304 is a wasteful number, since it uses less digits than its factorization.

1343136306304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248237 (or 1248225 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 37.

The spelling of 1343136306304 in words is "one trillion, three hundred forty-three billion, one hundred thirty-six million, three hundred six thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 647 832 1294 1664 2588 5176 8411 10352 16822 20704 33644 41408 67288 82816 134576 269152 538304 1076608 1247563 2495126 4990252 9980504 16218319 19961008 32436638 39922016 64873276 79844032 129746552 159688064 259493104 518986208 807173261 1037972416 1614346522 2075944832 3228693044 6457386088 10493252393 12914772176 20986504786 25829544352 41973009572 51659088704 83946019144 103318177408 167892038288 335784076576 671568153152 1343136306304